I know nothing about the new 102, but I've demoed the 106ti and also briefly the 105, and a ski buddy has the SR 105, three replacements of them so far - his daily driver. (Last year's model rather than this, so if there have been any great changes to the 21/22 model, I would not know about that new ski.) Both skis were in the mid 180s in length, for me - but he is larger, 190 lbs. or so, so his length is the longest one, 19x, though he has had both lengths.
The 105, from what I've watched him do, and from his descriptions, is a great, stable platform, rock solid. Not a floater, not much lift. But it doesn't dive or get hung up either. Ever. He's an ex-racer, and he charges the ski often, skis fairly fast but steady, big gs turns, solid. The ski does that in any condition, almost. He uses it for steeps, for powder, up to very deep. It's a challenge keeping up with him for many. He both carves and lets it slide sometimes, a bit.
This ski is not playful, but it is almost bombproof. Smooth. Cannot be rattled, most any speed. Crud and slush are easy on it. But it is not a floaty ski, rather it more carves dependably or busts straight through, with a slight lift, seems like.
The 106ti, on the other hand, has a bit of play/float/lift/drift to it, enough to be quite playful - especially for a Kastle. But it is a very solid ski, powder, crud or packed powder. A very intuitive ski. And it carves well too, when that is wanted. I really like this ski, and would prefer it to the 105 on a powder day, but both seem top notch. If speed is your thing, both skis will charge admirably, the 105 probably more so. (I did not reach a speed limit demoing the 106ti in maybe 5-6" of powder then crud, as I recall.)
Only a partial answer, but I hope that helps some.